SOLUTION: Please help me solve this problem: Let f be a quadratic function. The slope of the tangent line to the graph of f at x = 1 is 3, and the slope of the tangent line can be drawn to

Question 1028821: Please help me solve this problem:
Let f be a quadratic function. The slope of the tangent line to the graph of f at x = 1 is 3, and the slope of the tangent line can be drawn to the graph of f at x = 2 is 5. If the graph of f passes through the point (1,0), find the equation of f.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For a quadratic equation,

The slope of the tangent line is equal to the derivative,

So then, ,

1.
.
.
When ,

2.
Subtracting eq. 1 from eq. 2,

Then,

So then using the last point,

.
.

.
..

.

RELATED QUESTIONS
Please help me with this problem: Find the slope of the tangent line which can be drawn (answered by robertb)

Please help me with this: The function f(x) = {{{x^3}}} + x is a one-to-one function,... (answered by robertb)

I need to know the steps to solve this problem. Hope you can help me. If f(x) = 3-x^2 (answered by longjonsilver)

please help me solve this question? Consider the function f(x) = -x2 + 3x - 1. Find the... (answered by MathLover1)

Find the slope and the equation of the tangent line to the graph of the function at the... (answered by MathLover1,greenestamps)

Please help solve and provide workings for this question, thanks. Find the equation... (answered by Alan3354)

Please help me with this problem: Let f be the function given by f(x)=ln|... (answered by stanbon)

Good dayy please help me with this problem. sorry for my bad english The line... (answered by ewatrrr)

Let {{{ f(x) = x^3 + 11 }}} and {{{ a = 3 }}} Find and simplify the quotient:... (answered by Edwin McCravy,solver91311)